What is the Least Common Multiple of 26919 and 26937?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 26919 and 26937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26919 and 26937, than apply into the LCM equation.

GCF(26919,26937) = 9
LCM(26919,26937) = ( 26919 × 26937) / 9
LCM(26919,26937) = 725117103 / 9
LCM(26919,26937) = 80568567

Least Common Multiple (LCM) of 26919 and 26937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26919 and 26937. First we will calculate the prime factors of 26919 and 26937.

Prime Factorization of 26919

Prime Factorization of 26937

Now multiplying the highest exponent prime factors to calculate the LCM of 26919 and 26937.

LCM(26919,26937) = 3³ × 997¹ × 41¹ × 73¹
LCM(26919,26937) = 80568567